vanesarobles vanesarobles
  • 03-09-2019
  • Mathematics
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is the inverse of an ordered pair on a graph is it’s reflection across the line y=x , sometimes, always, or never true?

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lucic
lucic lucic
  • 03-09-2019

Answer:

Always

Step-by-step explanation:

Finding the inverse of an ordered pair is simply swapping the position of x and y coordinates

if a point is (2,3), then the inverse is (3,2)

In general a point (x,y) will have its inverse as (y,x)

So now a point lets see a point  (x,y) reflected on line  on line y=x  , the resulting image of the point will be (y,x)

For example point (1,2) reflected on y=x will have image at (2,1)

This means that inverse of an ordered pair on a graph is its reflection across the line y=x always

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